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Finding the Fourth Proportional to 14,197.16, 21,295.74 and 6,396.86

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Solution

The fourth proportional to 14,197.16, 21,295.74 and 6,396.86 is: 9,595.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,197.16 : 21,295.74 = 6,396.86 : x
  2. Step 2: Convert to fraction form
    14,197.16/21,295.74 = 6,396.86/x
  3. Step 3: Cross multiply
    14,197.16x = 21,295.74 × 6,396.86
  4. Step 4: Simplify right side
    14,197.16x = 136,225,760.90
  5. Step 5: Solve for x
    x = 136,225,760.90/14,197.16
  6. Step 6: Final answer
    x = 9,595.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.